when i have an inequality like this ,

$\displaystyle 0<\sqrt{13}-3<1$

If i were to find $\displaystyle (\sqrt{13}-3)^4$ , can i say that

$\displaystyle 0^4<(\sqrt{13}-3)^4<1^4 = 0<(\sqrt{13}-3)^4<1$ ??

And if the value at the side are negative , for instance

$\displaystyle

-5<x<-1

$

If i were find range of $\displaystyle x^2$ , am i right in saying .

$\displaystyle 25>x^2>1$

Rearrange $\displaystyle 1<x^2<25$